Home / 2,106.10-3,159.15-872.68

Finding the Fourth Proportional to 2,106.10, 3,159.15 and 872.68

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Solution

The fourth proportional to 2,106.10, 3,159.15 and 872.68 is: 1,309.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.10 : 3,159.15 = 872.68 : x
  2. Step 2: Convert to fraction form
    2,106.10/3,159.15 = 872.68/x
  3. Step 3: Cross multiply
    2,106.10x = 3,159.15 × 872.68
  4. Step 4: Simplify right side
    2,106.10x = 2,756,922.66
  5. Step 5: Solve for x
    x = 2,756,922.66/2,106.10
  6. Step 6: Final answer
    x = 1,309.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.